Conformal and potential analysis in Hele-Shaw cells /

This monograph aims at giving a presentation of recent and new ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. In particular, this book is concerned with geometric problems for Hele-Shaw f...

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Bibliographic Details
Main Author: Gustafsson, Bj�orn, 1947-
Other Authors: Vasil�ev, Alexander, 1962-
Format: Book
Language:English
Published: Basel ; Boston : Birkh�auser Verlag, c2006
Series:Advances in mathematical fluid mechanics
Subjects:
Description
Summary:This monograph aims at giving a presentation of recent and new ideas that arise from the problems of planar fluid dynamics and which are interesting from the point of view of geometric function theory and potential theory. In particular, this book is concerned with geometric problems for Hele-Shaw flows. Also Hele-Shaw flows on parameter spaces (e.g., the Teichmuller space) are treated and connections with string theory are revealed. Ultimately, the interaction between several branches of complex and potential analysis, and planar fluid mechanics is discussed. For most parts of this book the background provided by graduate courses in real and complex analysis, in particular, the theory of conformal mappings and in fluid mechanics is assumed.--BOOK JACKET
Physical Description:x, 231 p. : ill. ; 24 cm
Bibliography:Includes bibliographical references (p. [205]-226) and index
ISBN:0817677038 (alk. paper)
3764377038 (alk. paper)